SOLUTION: Mrs. Jackson is 2 years more than 3 times as old as her son. If the difference between their ages is 22 years, how old is Mrs. Jackson?

Question 1021384: Mrs. Jackson is 2 years more than 3 times as old as her son. If the difference between their ages is 22 years, how old is Mrs. Jackson?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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J=Mrs. Jackson's age; S=son's age
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J-S=22yrs
J=S+22yrs
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J=3S+2yrs
S+22yrs=3S+2yrs
20yrs=2S
10yrs=S
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The son is 10 years old.
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J=S+22yrs=10yrs+22yrs=32yrs
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ANSWER: Mrs. Jackson is 32 years old
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CHECK:
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J=3S+2yrs
32 yrs=3(10yrs)+2yrs
32yrs=30yrs+2yrs
32yrs=32yrs
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